Solve f(x) + G(x) + H(x): x^2 + 5x + 1

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SUMMARY

The discussion focuses on solving the equation f(x) + G(x) + H(x) where f(x) = 2x - 1, G(x) = 3x + 2, and H(x) = x^2. The correct combination of these functions results in the equation x^2 + 5x + 1. Participants clarify the process of substituting the functions and combining like terms, confirming that the final result matches the original equation. Emphasis is placed on the importance of checking signs and terms during calculations.

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sfeld
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f(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2

Find f(x) + G(x) + H(x)

Answer is x^2 + 5x + 1.
can someone explain the problem to me please <3


////////////Oh I see now, I was putting the wrong sign in that's why I was'nt getting it, my carless mistakes D:! please forgive D:
 
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f(x) + G(x) + H(x) = (2x - 1) + G(x) + H(x).

Can you take it from there?
 


No worries! Let's break down the problem. The given equation is f(x) + G(x) + H(x) = x^2 + 5x + 1. This means that we need to combine the functions f(x), G(x), and H(x) to get the final result of x^2 + 5x + 1.

First, let's substitute the given values for f(x), G(x), and H(x) into the equation: (2x-1) + (3x+2) + (x^2) = x^2 + 5x + 1. Now we can simplify the equation by combining like terms. We have 2x + 3x + x^2 - 1 + 2 = x^2 + 5x + 1. This gives us a simplified equation of x^2 + 5x + 1 = x^2 + 5x + 1. As you can see, the final result is the same as the given equation, which means that our answer is correct!

I hope this explanation helps. Remember to always double check your signs and terms when solving equations. Keep practicing and you'll get the hang of it!
 

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